2838528000 has 768 divisors, whose sum is σ = 12758878080. Its totient is φ = 589824000.

The previous prime is 2838527981. The next prime is 2838528013. The reversal of 2838528000 is 8258382.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258047995 + ... + 258048005.

Almost surely, 2^2838528000 is an apocalyptic number.

2838528000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2838528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6379439040).

2838528000 is an abundant number, since it is smaller than the sum of its proper divisors (9920350080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2838528000 is an equidigital number, since it uses as much as digits as its factorization.

2838528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2838528000 is about 53277.8377939646. The cubic root of 2838528000 is about 1415.8950415357.

The spelling of 2838528000 in words is "two billion, eight hundred thirty-eight million, five hundred twenty-eight thousand".